Math 105-02: Calculus I: Reading Homework 1.4--5

1. Power Functions : what is a power function?
   
   1. General Form : what is the general form of a power function? what are the constants in your formula?
      
   2. Types :
      
      1. even and odd powers : what shape do power functions with even and odd positive powers have?
         
      2. zero and negative powers : what shape do power functions with zero and negative integral powers have?
         
      3. positive fractional powers : what shape do power functions with positive fractional powers have?
         
   3. Power and Exponential Functions : are power or exponential functions largest?
      
2. Inverse Functions : how are functions and their inverses related?
   
   1. Invertible Functions : which functions are invertible?
      
   2. Definition : what is the definition of an inverse function?
      
   3. Finding : how might we be able to find a formula for an inverse function?
      
   4. Graphing : how might we graph an inverse function?